Practice Test

626.

For the polynomial $8 y^{4} - 3 y^{2} + 1$

ⓐ Is it a monomial, binomial, or trinomial?
ⓑ What is its degree?

In the following exercises, simplify each expression.

627.

$(5 a^{2} + 2 a - 12) + (9 a^{2} + 8 a - 4)$

628.

$(10 x^{2} - 3 x + 5) - (4 x^{2} - 6)$

629.

${(- \frac{3}{4})}^{3}$

630.

$n \cdot n^{4}$

631.

${(10 p^{3} q^{5})}^{2}$

632.

$(8 x y^{3}) (−6 x^{4} y^{6})$

633.

$4 u (u^{2} - 9 u + 1)$

634.

$(s + 8) (s + 9)$

635.

$(m + 3) (7 m - 2)$

636.

$(11 a - 6) (5 a - 1)$

637.

$(n - 8) (n^{2} - 4 n + 11)$

638.

$(4 a + 9 b) (6 a - 5 b)$

639.

$\frac{5^{6}}{5^{8}}$

640.

${(\frac{x^{3} \cdot x^{9}}{x^{5}})}^{2}$

641.

${(47 a^{18} b^{23} c^{5})}^{0}$

642.

$\frac{24 r^{3} s}{6 r^{2} s^{7}}$

643.

$\frac{8 y^{2} - 16 y + 20}{4 y}$

644.

$(15 x y^{3} - 35 x^{2} y) \div 5 x y$

645.

$4^{−1}$

646.

${(2 y)}^{−3}$

647.

$p^{−3} \cdot p^{−8}$

648.

$\frac{x^{4}}{x^{−5}}$

In the following exercises, factor the greatest common factor from each polynomial.

649.

$80 a^{3} + 120 a^{2} + 40 a$

650.

$−6 x^{2} - 30 x$

651.

According to www.cleanair.org, the amount of trash generated in the US in one year averages out to $112,000$ pounds of trash per person. Write this number in scientific notation.

652.

Convert $5.25 \times 10^{−4}$ to decimal form.

In the following exercises, simplify, and write your answer in decimal form.

653.

$(2.4 \times 10^{8}) (2 \times 10^{−5})$

654.

$\frac{9 \times 10^{4}}{3 \times 10^{−1}}$

655.

A hiker drops a pebble from a bridge $240$ feet above a canyon. The polynomial $−16 t^{2} + 240$ gives the height of the pebble $t$ seconds a after it was dropped. Find the height when $t = 3 .$